A student goes home saying that the teacher constantly picks on them, that the teacher hates them and that the teacher never allows them to answer a question. The parent comes in accusing you of picking on their child in front of others and they want the child moved to another classroom. How do you handle this situation?
I would definitely try my best to keep everything calm as best as possible.
If I were in this situation, I would exactly do this.
I agree with arranging for other personel to be present. The parent obviously dislikes you without evidence therefore you need to have a witness present when meeting with this parent.
I like this solution. In this case I would definitely want someone on my side to back me up. I only want to present facts. Facts are fair.
I wouldn't ask them to let me prove it to them.
Not speaking to the parent is probably the best idea, you want to keep that open communication for them and let them speak what they want to say angry or not.